How to write 1/4z-1/3-1/7z^2 in az^2+bz

borishaifa [10]

The Approximate the solution to the equation using three iterations of successive approximation is option b: 27/8.

<h3>What is the iterations about?</h3>

In the equation given:

Note that:

x²-3x+2 = square root √x-2 + 2

Therefore:

x⁴-6x³+9x²= square root x-2

x² = 3.375

Convert 3.35 into fractions and will get 27/8. So, The Approximate the solution to the equation using three iterations of successive approximation is option b: 27/8.

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3 0

2 years ago

A cargo ship off the west coast of Africa sent a distress call and only provided their 10 latitude before the call cuts out. As

Studentka2010 [4]

The linear function showing the cargo ship’s path on the map is given at the image at the end of the answer.

<h3>What is a linear function?</h3>

The slope-intercept representation of a linear function is given by the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are explained as follows:

m is the slope of the function, representing the change in the output variable y when the input variable x increases by one.

b is the y-intercept of the function, representing the numeric value of the function when the input variable x assumes a value of 0.

In this problem, the function is given as follows:

y + 20 = -2x.

In slope-intercept format, the function is:

y = -2x - 20.

This means that:

When the longitude is of 0, the latitude is of 20. (passing through Mali).

Due to the negative slope, the line is decreasing.

Hence the line is presented on the image given at the end of the answer.

More can be learned about linear functions at brainly.com/question/24808124

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4 0

1 year ago

Carbon-14 is a radioactive isotope that has a half-life of 5,730 years. Approximately how many years will it take for carbon-14

PilotLPTM [1.2K]

Answer:

<em>Carbon-14 will take 19,035 years to decay to 10 percent.</em>

Step-by-step explanation:

<u>Exponential Decay Function</u>

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay.

An exponential decay can be described by the following formula:

$N(t)=N_{0}e^{-\lambda t}$

Where:

No = The quantity of the substance that will decay.

N(t) = The quantity that still remains and has not yet decayed after a time t

$\lambda$ = The decay constant.

One important parameter related to radioactive decay is the half-life:

$\displaystyle t_{1/2}=\frac {\ln(2)}{\lambda }$

If we know the value of the half-life, we can calculate the decay constant:

$\displaystyle \lambda=\frac {\ln(2)}{ t_{1/2}}$

Carbon-14 has a half-life of 5,730 years, thus:

$\displaystyle \lambda=\frac {\ln(2)}{ 5,730}$

$\lambda=0.00012097$

The equation of the remaining quantity of Carbon-14 is:

$N(t)=N_{0}e^{-0.00012097\cdot t}$

We need to calculate the time required for the original amout to reach 10%, thus N(t)=0.10No

$0.10N_o=N_{0}e^{-0.00012097\cdot t}$

Simplifying:

$0.10=e^{-0.00012097\cdot t}$

Taking logarithms:

$ln 0.10=-0.00012097\cdot t$

Solving for t:

$\displaystyle t=\frac{log 0.10}{-0.00012097}$

$t\approx 19,035\ years$

Carbon-14 will take 19,035 years to decay to 10 percent.

6 0

3 years ago

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Help please only if you know!!!

gulaghasi [49]

#5. looks fine.
The roots are { +√(6) , -√(6) , -2, 2 }

#6. 12x³ + 26x² - 10x
factor out 2x
2x(6x² + 13x - 5) = 0
one root is zero

factor for other two roots, only 5×1 = 5
(3x-1)(2x+5)
3x - 1 = 0
3x = 1
x = 1/3

2x + 5 = 0
2x = -5
x = -5/2

roots are { 0, 1/3, -5/2 }

EDIT** forgot #7

#7. 125x³ + 8 = 0

125x³ = -8
x³ = -8/125
x = ∛(-8/125)

root of a fraction is the root of the numerator and denominator, negative can be on either numerator or denominator. overall fraction should be negative to subtract from the 8 to give zero.

∛(-8) = +/- 2
∛(125) = 5

root { -2/5 }

7 0

4 years ago

How to find the correct unit of measurement? I am struggling with this. What is the difference between ft³, ft and ft²? Example:

arlik [135]

<span> </span> <span>if you want to determine the perimeter / length, use a normal measure - ft.
The area is $ft^{2}$
<span>and the volume</span></span> $ft^{3}$

4 0

4 years ago

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